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The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 762 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting. Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use Pboys-Pgirls. Round your test statistic to two decimal places and your P-value to four decimal places.) z= P-value = State your conclusion. ○ we fail to reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. ○ we fail to reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. ○ We reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 762 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting. Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use Pboys-Pgirls. Round your test statistic to two decimal places and your P-value to four decimal places.) z= P-value = State your conclusion. ○ we fail to reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. ○ we fail to reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. ○ We reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 8E: List the sample space of each experiment. Picking a one-digit number
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11.3.1

The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 762 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting. Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use P boys - P girls. Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State your conclusion. ○ we fail to reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We fail to reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
Transcribed Image Text:The authors of a paper concluded that more boys than girls listen to music at high volumes. This conclusion was based on data from independent random samples of 762 boys and 746 girls from a country, age 12 to 19. Of the boys, 397 reported that they almost always listen to music at a high volume setting. Of the girls, 331 reported listening to music at a high volume setting. Do the sample data support the authors' conclusion that the proportion of the country's boys who listen to music at high volume is greater than this proportion for the country's girls? Test the relevant hypotheses using a 0.01 significance level. (Use a statistical computer package to calculate the P-value. Use P boys - P girls. Round your test statistic to two decimal places and your P-value to four decimal places.) Z = P-value = State your conclusion. ○ we fail to reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We fail to reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We reject Ho. We have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume. We reject Ho. We don't have convincing evidence that the proportion of the country's boys who listen to music at high volume is greater than the proportion of the country's girls who listen to music at high volume.
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